Honors ALG II Douglas Tisdahl, Instructor FIU
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1 Honors ALG II Douglas Tisdahl, Instructor FIU Textbook: Staff prepared materials (L.A.P.S.), Miami Dade County ALG II (Glencoe) or Florida ALG II (Prentice Hall) Calculators Utilized: Scientific Calculators, Graphing Calculators will be permitted, but not recommended. Course Overview The Honors ALGII course at FIU School concentrates on the achievement of the BC calculus topics as outlined by the College Board, but includes additional topics as time permits. All students enrolled in this course have previously taken, and passed, the Honors ALG I course. Thus, many of the ALGII Honors topics, namely the ones common to both levels, are familiar to these students. Such topics will be covered in the ALGII Honors course, students will have a thorough understanding of the foundations of algebra. Classes at FIU meet ninety times per school year, every other day for ninety minutes at a time. Writing Assignments: Concepts will be solidified by the use of descriptive writing. Problems will be solved and then a detailed written description of the concepts and mathematics behind the solutions will be required. These writings will be used as both a teaching and reviewing tool. As new concepts are introduced previous detailed writings will be used as a resource to develop an understanding of new, and to reinforce past, concepts. Attendance: Students are strongly discouraged from being late or missing class. Students learn to explore and discover mathematical concepts in class. If a student is absent it will interfere with their ability to understand the concepts that are necessary for course completion. Make up tests are given before or after school within one week of permissible absence. Conduct: All students are expected to attend class on time, bring materials, and participate. Students will need to treat others with respect and understanding. Unexcused absences, tardies, and cheating will receive an F for the day. No activity that interferes with the learning process will be tolerated. Use of cell phones for non-academic activities in the classroom will not be tolerated. Use or view of cell phones non-academic activities will result in confiscation of the phones then delivery to administration.
2 Topic Outline First Quarter I. ALG I Review A. Review (summer packet) B. Linear Equations and Inequalities in One Variable C. Linear Functions II. III. IV. Linear functions A. Properties of lines B. Formulas of linear functions C. Range, domain, direct variation D. Basic inverse Systems of linear equations A. Solve the system 1. By graphing 2. By replacement 3. By linear combination B. Identify the system as 1. Consistent 2. Inconsistent C. Describe the relationship of the line to each other 1. Intersecting at one point 2. Coincident 3. Parallel Exponents A. Scientific notation B. Properties of exponents 1. Review adding 2. Review subtracting 3. Review negative 4. Reivew multiplication 5. Review distribution 6. Factoring 7. Dividing basic polynomials C. Rational exponents 1. Root index 2. Fraction exponents 3. Equation rational exponents with radicals 4. Rationalizing denominators V. Introduction to graphing A. Review Line
3 B. Circle C. Ellipse D. Parabola E. Hyperbola VI. Inequalities A. Identify B. Use primary inequality theormes C. Alsolute value D. Solve and graph Second Quarter VII. Complex numbers A. Definition B. Properties of complex numbers C. Conjugate D. Graphing E. Absolute value F. Powers G. Basic quadratics VIII. IX. Non-Linear systems of equations A. Definition B. Graphs C. Zeros D. Introduction to circles, parabolas, ellipse E. Solving systems algebraically F. Solving systems graphically G. Solving systems by combination Quadratic Equations A. Review solutions by factoring B. Solutions by completing the square C. Solutions using the quadratic formula D. The Discriminant X. Quadratic functions A. Graphing of quadratics B. Determing the zero values C. Vertex D. Axis of symmetry E. Y-intercept F. Range G. Domain
4 H. Informational form I. Determine quadratic with three non-collinear points XI. XII. Polynomials A. Binomial expansion 1. Pascals triangle 2. Recursive method 3. Explicit method 4. Specific term B. Factoring C. Dividing polynomials D. Solving polynomials 1. Arithmetic 2. Geometric Functions A. Define 1. Special functions 2. Constant 3. Multiplying 4. Recipreating 5. Squaring 6. Cubing 7. Absolute value 8. Greatest integer 9. Fractional part B. Domain C. Range D. Inverse E. Symmetry F. Increasing/decreasing G. Graphing H. Vertical line test Third Quarter XII. The Algebra of Functions A. adding/ subtracting/ multiplication/ division B. composites XIII. Logarithims A. Defination B. General theorems C. Identify D. Using table E. Antilog F. Determine root and powers using logs
5 XIV. Exponential and Logarithmic functions A. Define the difference B. Graph 1. Determine domain 2. Determine Range 3. Determine Monotonicity 4. Write an equation of its inverse XV. Polynomial functions A. Graphing B. Domain C. Range D. Zeros E. degree XVI. Equations real number A. Fractions B. Quadratics C. Polynomials of degree greater then two D. Radicals E. Absolute Value F. The variable as an exponent XVII. Sequences and Series A. Arithmetic B. Geometric C. Difference between sequence and series Forth Quarter XVIII. Probabilityty. A. Independence and Conditional Probability B. Probability of compound events C. Evaluating outcomes of decisions XIX. Statistics A. Design and evaluation of statistical studies B. Normal distribution XX. Trigonometric functions A. The Unit Circle B. Trigonometric Identities C. Modeling with Trigonometric Functions
6 Student Evaluation Students are evaluated primarily by their performance on periodic tests and quizzes. Additionally, homework, classwork, and class participation are element s, which will affect a student s quarterly grade. Enrichment assignments are provided throughout the course, and students are encouraged to exceed the basic course requirements to receive maximum benefit.
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